A Theoretical and Computational Framework for Isotropic Damage Models based on a Generalized Micropolar Continuum Theory
Lapo Gori1; Roque Luiz da Silva Pitangueira1; Samuel Silva Penna1; Jamile Salim Fuina2
1 Department of Structural Engineering, Engineering School, Federal University of Minas Gerais; 2 Faculty of Engineering and Architecture, FUMEC University
doi:10.20906/CPS/CILAMCE2015-0551
Resumo
Damage models represent a common approach to the physically non-linear analysis of quasi-brittle materials like concrete. Due to their strain-softening behavior, they may suffer for strain localization problems, hence leading to a set of pathological phenomena that affect the quality of the simulations. The micro-polar continuum theory has been applied in the past to the analysis of localization problems in elasto-plasticity, and can provide an alternative to mitigate such problems also for damage models. This paper investigates the application to isotropic damage models of the micro-polar continuum theory. The formulation of the micro-polar theory is presented in a tensorial generalized form, allowing its inclusion in a unified formulation for constitutive models. The computational implementation of such models in the numerical core of the INSANE computer system (INteractive Structural ANalysis Environment) is discussed, and is presented in a format that makes it independent on the peculiar numerical method adopted for the solution of the problem. Numerical simulations are presented in order to illustrate the proposed models.
Palavras-chave: micro-polar continua; isotropic damage; strain localization; unified constitutive models formulation